The Astros scored at least 11 runs in three consecutive games for the first time in their history, outscoring the Rangers, 37-7, in the series.
Springer's fourth career grand slam and Correa's second homer in as many at-bats highlighted a seven-run outburst in the sixth inning that enabled the Astros to take an 11-2 lead. Jose Altuve reached 200 hits for the fourth year in a row with a first-inning single.
In his final outing before likely starting Game 1 of the American League Division Series next week, Justin Verlander (15-8) improved to 5-0 with a 1.